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Finding the Fourth Proportional to 267,509.98, 401,266.50 and 67,830.76

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Solution

The fourth proportional to 267,509.98, 401,266.50 and 67,830.76 is: 101,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,509.98 : 401,266.50 = 67,830.76 : x
  2. Step 2: Convert to fraction form
    267,509.98/401,266.50 = 67,830.76/x
  3. Step 3: Cross multiply
    267,509.98x = 401,266.50 × 67,830.76
  4. Step 4: Simplify right side
    267,509.98x = 27,218,211,657.54
  5. Step 5: Solve for x
    x = 27,218,211,657.54/267,509.98
  6. Step 6: Final answer
    x = 101,746.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.